Theory of charge transport in diffusive normal metal / conventional superconductor point contacts

Abstract

Tunneling conductance in diffusive normal metal / insulator / s-wave superconductor (DN/I/S) junctions is calculated for various situations by changing the magnitudes of the resistance and Thouless energy in DN and the transparency of the insulating barrier. The generalized boundary condition introduced by Yu. Nazarov [Superlattices and Microstructures 25 1221 (1999)] is applied, where the ballistic theory by Blonder Tinkham and Klapwijk (BTK) and the diffusive theory by Volkov Zaitsev and Klapwijk based on the boundary condition of Kupriyanov and Lukichev (KL) are naturally reproduced. It is shown that the proximity effect can enhance (reduce) the tunneling conductance for junctions with a low (high) transparency. A wide variety of dependencies of tunneling conductance on voltage bias is demonstrated including a $U$-shaped gap like structure, a zero bias conductance peak (ZBCP) and a zero bias conductance dip (ZBCD).

References in corpus (27)

• Random-Matrix Theory of Quantum Transport
• Hamiltonian approach to the transport properties of superconducting quantum point contacts
• Quasiclassical Green's function approach to mesoscopic superconductivity
• AC JOSEPHSON EFFECT IN A SINGLE QUANTUM CHANNEL
• Local Density of States in a Dirty Normal Metal connected to a Superconductor
• Interference of two electrons entering a superconductor
• Spin-triplet superconductivity in Sr${}_2$RuO${}_4$ probed by Andreev reflection
• Diffusive conductors as Andreev interferometers
• Degenerate ground state in a mesoscopic YBaCuO grain boundary Josephson junction
• Circuit theory of unconventional superconductor junctions
• Observation of Andreev Surface Bound States in the 3-K phase Region of Sr_2RuO_4
• Re-entrance of the metallic conductance in a mesoscopic proximity superconductor
• Induced superconductivity distinguishes chaotic from integrable billiards
• Coherent Charge Transport in Metallic Proximity Structures
• Experimental determination of superconducting parameters for the intermetallic perovskite superconductor ${\text {MgCNi}}_3
• Tunneling conductance of normal metal / $d_{x^2-y^2}$-wave superconductor junctions in the presence of broken time reversal symmetry states near interfaces
• Scaling Theory of Conduction Through a Normal-Superconductor Microbridge
• Coherent effects in double-barrier Josephson junctions
• Local and macroscopic tunneling spectroscopy of Y(1-x)CaxBa2Cu3O(7-d) films: evidence for a doping dependent is or idxy component in the order parameter
• Spectroscopic evidence for unconventional superconductivity in UBe${}_{13}$
• Nonlinearity in NS transport: scattering matrix approach
• Theory of AC Josepson Effect in Superconducting Constrictions
• Andreev reflections on Y1-xCaxBa2Cu3O7-delta evidence for an unusual proximity effect
• Multiple Andreev reflections and enhanced shot noise in diffusive SNS junctions
• Boundary conditions for quasiclassical equations in the theory of superconductivity
• Long-range coherence and mesoscopic transport in N-S metallic structures
• Suppression and enhancement of the critical current in multiterminal S/N/S mesoscopic structures

Cited by in corpus (31)

• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Fractal superconductivity near localization threshold
• Manifestation of the odd-frequency spin-triplet pairing state in diffusive ferromagnet / superconductor junctions
• Theory of enhanced proximity effect by mid gap Andreev resonant state in diffusive normal metal / triplet superconductor junctions
• Directional point-contact Andreev-reflection spectroscopy of Fe-based superconductors: Fermi surface topology, gap symmetry, and electron-boson interaction
• Theory of charge transport in diffusive normal metal / unconventional singlet superconductor contacts
• Theory of Majorana zero modes in unconventional superconductors
• Generalization of Blonder-Tinkham-Klapwijk theory to particle-hole mixing boundary conditions: π-shift and conductance dips
• Resonant proximity effect in normal metal / diffusive ferromagnet / superconductor junctions
• Resonant peak in the density of states in the normal metal / diffusive ferromagnet / superconductor junctions
• Geometrical enhancement of the proximity effect in quantum wires with extended superconducting tunnel contacts
• The role of interface transparency and spin-dependent scattering in diffusive ferromagnet/superconductor heterostructures
• Enhancement and termination of the superconducting proximity effect due to atomic-scale defects visualized by scanning tunneling microscopy
• Quasiclassical theory for the superconducting proximity effect in Dirac materials
• Point-contact Andreev-reflection spectroscopy in segregation-free Mg_{1-x}Al_{x}B_2 single crystals up to x=0.32
• Influence of magnetic impurities on charge transport in diffusive-normal-metal / superconductor junctions
• Nonsinusoidal current-phase relations and the $0-\pi$ transition in diffusive ferromagnetic Josephson junctions
• Cross-correlated shot noise in three-terminal superconducting hybrid nanostructures
• Theory of thermal and charge transport in diffusive normal metal / superconductor junctions
• Quantum transport in a normal metal/odd-frequency superconductor junction
• Zero-bias conductance peak splitting due to multiband effect in tunneling spectroscopy
• Andreev Current for low temperature thermometry
• Theory of proximity effect in $s+p$-wave superconductor junctions
• Spin-polarized proximity effect in superconducting junctions
• Energy dependence of current noise in superconducting/normal metal junctions
• Generation of polarized spin-triplet Cooper pairings by magnetic barriers in superconducting junctions
• Energy dependence of current noise in double-barrier normal-superconducting structures
• Quantum kinetic equations and anomalous non-equilibrium Cooper pair spin accumulation in Rashba wires with Zeeman splitting
• Zero Energy States at a Normal--Cuprate-Superconductor Interface Probed by Shot Noise
• Smearing origin of zero-bias conductance peak in Ag-SiO-Bi-2212 planar tunnel junctions: influence of diffusive normal metal verified with the circuit theory
• Meissner effect in diffusive normal metal / d-wave superconductor junctions